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GrogVix [38]
3 years ago
12

5. Find the radius of a cylinder with a volume of 150 in^3 and a height of 10 in.

Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

Hi there!

The correct answer is: 2.185 in

Step-by-step explanation:

The formula for the volume of cylinder is: V= Base * Height

where base is π * radius²

So given that information, we can first divide 10 on sides to get πr²= 15

then divide pi on both sides to get 4.7746 then square root both sides to get

r=2.185

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3 years ago
The angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees. How much higher will the to
Sav [38]

Answer:

44.73 m

Step-by-step explanation:

Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.

Using trigonometry ratio, the height of the tower can be calculated by

Tan Ø = height / base

Tan 25 = height / 120

Make height the subject of formula

Height = 120 × tan 25

Height = 55.96 m

How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?

Using the same formula to calculate the new height.

Tan 40 = new height / base

Tan 40 = new height / 120

Make the new height the subject of the formula.

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Increase in height = new height - height

Increase in height = 100.69 - 55.96

Increase in height = 44.73m

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3 years ago
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A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the vol
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Find the value of x using the diagram below. Round to the nearest whole number. Picture Attached.
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Both triangles are right triangles. x is the hypotenuse of the upper one. ThePythagorean formula  will give the value of x. One side is known, The other side we will find using the fact that the lower right triangle is isosceles. The hypotenuse of an isosceles right triangle has a length of \sqrt{2} times the length of one of the legs. In this case 14. So the hypotenuse of the lower triangle is also the short side of the upper triangle. Using Pythagoras

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625 + 392 =  x^{2}

 1017 =  x^{2}

32 = x

4 0
3 years ago
Read 2 more answers
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